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Mathematical programming study 21: Sensitivity, Stability and parametric analysis
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This article is published in Mathematical Programming.The article was published on 1985-01-01. It has received 115 citations till now. The article focuses on the topics: Sensitivity (control systems).read more
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Sequential Quadratic Programming
Paul T. Boggs,Jon W. Tolle +1 more
TL;DR: Since its popularization in the late 1970s, Sequential Quadratic Programming (SQP) has arguably become the most successful method for solving nonlinearly constrained optimization problems.
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A Rigorous Framework for Optimization of Expensive Functions by Surrogates
TL;DR: The goal of the research reported here is to develop rigorous optimization algorithms to apply to some engineering design problems for which direct application of traditional optimization approaches is not practical.
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Extension of GAMS for complementarity problems arising in applied economic analysis
TL;DR: This paper introduced new features of the GAMS modeling language which have been developed for solving nonlinear complementarity problems and defined the mixed complementarity problem (MCP) and its various manifestations.
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A sequential bounding approach for optimal appointment scheduling
Brian T. Denton,Diwakar Gupta +1 more
TL;DR: This study exploits the problem structure to derive upper bounds that are independent of job duration distribution type and presents new analytical insights into the problem as well as a series of numerical experiments that illustrate properties of the optimal solution with respect to distribution type, cost structure, and number of jobs.
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Continuation and path following
Eugene L. Allgower,Kurt Georg +1 more
TL;DR: The main ideas of path following by predictor–corrector and piecewise-linear methods, and their application in the direction of homotopy methods and nonlinear eigenvalue problems are reviewed.